f(x) = 4x + 3
That's one-to-one, a linear function that will give a different f(x) for each different x.
For the inverse let's swap x and y and solve for y
x = 4y + 3
x - 3 = 4y
y = (x- 3)/4
That's the inverse,
Answer: (x- 3)/4, second choice
The domain and range of the inverse is all real numbers. It's two lines; I'll leave the graphing to you.
Answer:
256
Step-by-step explanation:
since the the path surounds both sides of the garden you have to add 2 x instead of just x
let me show you what i mean. 10=garden width and 3=path width=x
since it is a square, we can calculate the area by taking one side and squaring it so you get (10+2x)^2 which is 16^2 since x is 3, the width of the garden
to do simaler problems just use thei formula (garden length+2path length)^2 or (garden length+2path length)times(garden length+2path length)
Answer:
1. there are three terms -20, 5p, and -7z and the coefficients are p and z
so 2. 8x, -20y, -10 and the coefficients are x and y
5. it represents the total cost of cucumbers and apples.
Step-by-step explanation:
terms are separated by plus or minus signs and coefficients are variable next to the numbers.
Total length of the road = 6 3/4 miles.
Each markers are spaced at a distance = 1/8 of a mile.
Number of markers could be represented by following division problem:
Total length of the road ÷ each marker space =
<h3>a) 6 3/4 ÷ 1/8.</h3>
b) In order to solve it, we need to convert that fraction into improper fraction:
6 3/4 = 27/4
6 3/4 ÷ 1/8 = 27/4 ÷ 1/8
We need to convert division sign into multiplication sign and flip the second fraction.
27/4 × 8/1
On simplifying, we get
27 × 2 = 54.
<h3>c) There would be total number of 54 markers of lengths (1/8) of a mile.</h3>
Answer:
x=3; y= -10
I will prefer addition of equation instead of substitution, but you asked how to substitute
Step-by-step explanation:
-x+y=-13
y=x-13
3x-(x-13)=19
3x-x+13=19
2x=6, x=3
-3+y=-13, y=-13+3, y=-10